Finding the Third Proportional to 31,215 and 47,974.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,215 : 47,974.50 = 47,974.50 : x
2. Step 2: Convert to fraction form
   31,215/47,974.50 = 47,974.50/x
3. Step 3: Cross multiply
   31,215x = 47,974.50 × 47,974.50
4. Step 4: Simplify right side
   31,215x = 2,301,552,650.25
5. Step 5: Solve for x
   x = 2,301,552,650.25/31,215
6. Step 6: Final answer
   x = 73,732.26